Hello, I'm just reading my text on harmonic series and I'm just having trouble where they explain the inequalities. For examples:
s2 = 1 + 1/2 > 1/2 + 1/2 = 2/2
s4 = s2 + 1/3 + 1/4 > s2 + (1/4 + 1/4) = s2 + 1/2 > 3/2
So my question is, where are they getting the two halves in s2 and the two quarters in s4? Or how do they know to compare the partial sums to those numbers?